Fundamental String (Membrane) Orbiting D5(M5)-branes

TL;DR

This paper investigates the dynamics of fundamental strings and M2-branes near D5 and M5-branes, revealing conditions for metastable orbits and extending the analysis to M-theory configurations.

Contribution

It introduces specific conditions under which fundamental strings and M2-branes form metastable orbits near D5 and M5-branes, providing new insights into brane dynamics.

Findings

F-strings can have metastable orbits at finite distances from D5-branes.

Metastable orbits depend on angular momentum proportional to string length and coupling.

The study extends to M2-branes in M5-brane backgrounds.

Abstract

We study fundamental string (F-string) dynamics near D5-brane in some limits. We find that when the angular momentum of the probe is proportional to string length (l_s) and square root of string coupling constant {g_s}, the F-string lies in its metastable orbit at a finite distance from D5-branes. We further study the metastable orbits of a M2-brane in M5-brane background.